Here is my work on this problem so far:
I know to find the average velocity, I should first find the derivative of the height vs time function.
$$f(t)=80-4.9t^2$$
$$f'(t)=-9.8t+C$$
Where do I go from here to find average velocity? I know the answers to this problem, but am having a hard time figuring out how they are arrived at.
Any hints or help would be greatly appreciated.
Best Answer
The average velocity is simply the distance, covered by the object, divided by the time it took for the object to cover that distance.
There is no need to calculate $f'(t)$ to answer (a,b,c). You only need to calculate $\frac{f(t_1-f(t_0)}{t_1-t_0}$ where $t_0=1$ and $t_1$ takes three different values.